What is the LCM of 1808 and 198 - Find out answer step by step

What does LCM mean in mathematics?

The least common multiple or LCM of two numbers 1808 and 198 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(1808, 198).

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 1808 and 198 is 178992, where 1808 and 198 are less than 178992.
LCM is associative which means LCM(1808, 198) = LCM(198, 1808).
LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two or more prime numbers is their product.

Steps to find lcm of 1808 and 198 by Listing Method

Find some first multiples of 1808 and 198.
Find the least common multiple, and read off the answer!

Example: Find lcm of 1808 and 198 by Listing Method

Multiples of 1808: 1808, 3616, 5424, 7232, 9040, 10848, 12656, 14464, 16272, 18080, 19888, 21696, 23504, 25312, 27120, 28928, 30736, 32544, 34352, 36160, 37968, 39776, 41584, 43392, 45200, 47008, 48816, 50624, 52432, 54240, 56048, 57856, 59664, 61472, 63280, 65088, 66896, 68704, 70512, 72320, 74128, 75936, 77744, 79552, 81360, 83168, 84976, 86784, 88592, 90400, 92208, 94016, 95824, 97632, 99440, 101248, 103056, 104864, 106672, 108480, 110288, 112096, 113904, 115712, 117520, 119328, 121136, 122944, 124752, 126560, 128368, 130176, 131984, 133792, 135600, 137408, 139216, 141024, 142832, 144640, 146448, 148256, 150064, 151872, 153680, 155488, 157296, 159104, 160912, 162720, 164528, 166336, 168144, 169952, 171760, 173568, 175376, 177184, 178992, 180800, 182608, 184416, 186224, 188032, 189840, 191648, 193456, 195264, 197072, 198880, 200688, 202496, 204304, 206112, 207920, 209728, 211536, 213344, 215152, 216960, 218768, 220576, 222384, 224192, 226000, 227808, 229616, 231424, 233232, 235040, 236848, 238656, 240464, 242272, 244080, 245888, 247696, 249504, 251312, 253120, 254928, 256736, 258544, 260352, 262160, 263968, 265776, 267584, 269392, 271200, 273008, 274816, 276624, 278432, 280240, 282048, 283856, 285664, 287472, 289280, 291088, 292896, 294704, 296512, 298320, 300128, 301936, 303744, 305552, 307360, 309168, 310976, 312784, 314592, 316400, 318208, 320016, 321824, 323632, 325440, 327248, 329056, 330864, 332672, 334480, 336288, 338096, 339904, 341712, 343520, 345328, 347136, 348944, 350752, 352560, 354368, 356176, 357984
Multiples of 198: 198, 396, 594, 792, 990, 1188, 1386, 1584, 1782, 1980, 2178, 2376, 2574, 2772, 2970, 3168, 3366, 3564, 3762, 3960, 4158, 4356, 4554, 4752, 4950, 5148, 5346, 5544, 5742, 5940, 6138, 6336, 6534, 6732, 6930, 7128, 7326, 7524, 7722, 7920, 8118, 8316, 8514, 8712, 8910, 9108, 9306, 9504, 9702, 9900, 10098, 10296, 10494, 10692, 10890, 11088, 11286, 11484, 11682, 11880, 12078, 12276, 12474, 12672, 12870, 13068, 13266, 13464, 13662, 13860, 14058, 14256, 14454, 14652, 14850, 15048, 15246, 15444, 15642, 15840, 16038, 16236, 16434, 16632, 16830, 17028, 17226, 17424, 17622, 17820, 18018, 18216, 18414, 18612, 18810, 19008, 19206, 19404, 19602, 19800, 19998, 20196, 20394, 20592, 20790, 20988, 21186, 21384, 21582, 21780, 21978, 22176, 22374, 22572, 22770, 22968, 23166, 23364, 23562, 23760, 23958, 24156, 24354, 24552, 24750, 24948, 25146, 25344, 25542, 25740, 25938, 26136, 26334, 26532, 26730, 26928, 27126, 27324, 27522, 27720, 27918, 28116, 28314, 28512, 28710, 28908, 29106, 29304, 29502, 29700, 29898, 30096, 30294, 30492, 30690, 30888, 31086, 31284, 31482, 31680, 31878, 32076, 32274, 32472, 32670, 32868, 33066, 33264, 33462, 33660, 33858, 34056, 34254, 34452, 34650, 34848, 35046, 35244, 35442, 35640, 35838, 36036, 36234, 36432, 36630, 36828, 37026, 37224, 37422, 37620, 37818, 38016, 38214, 38412, 38610, 38808, 39006, 39204, 39402, 39600, 39798, 39996, 40194, 40392, 40590, 40788, 40986, 41184, 41382, 41580, 41778, 41976, 42174, 42372, 42570, 42768, 42966, 43164, 43362, 43560, 43758, 43956, 44154, 44352, 44550, 44748, 44946, 45144, 45342, 45540, 45738, 45936, 46134, 46332, 46530, 46728, 46926, 47124, 47322, 47520, 47718, 47916, 48114, 48312, 48510, 48708, 48906, 49104, 49302, 49500, 49698, 49896, 50094, 50292, 50490, 50688, 50886, 51084, 51282, 51480, 51678, 51876, 52074, 52272, 52470, 52668, 52866, 53064, 53262, 53460, 53658, 53856, 54054, 54252, 54450, 54648, 54846, 55044, 55242, 55440, 55638, 55836, 56034, 56232, 56430, 56628, 56826, 57024, 57222, 57420, 57618, 57816, 58014, 58212, 58410, 58608, 58806, 59004, 59202, 59400, 59598, 59796, 59994, 60192, 60390, 60588, 60786, 60984, 61182, 61380, 61578, 61776, 61974, 62172, 62370, 62568, 62766, 62964, 63162, 63360, 63558, 63756, 63954, 64152, 64350, 64548, 64746, 64944, 65142, 65340, 65538, 65736, 65934, 66132, 66330, 66528, 66726, 66924, 67122, 67320, 67518, 67716, 67914, 68112, 68310, 68508, 68706, 68904, 69102, 69300, 69498, 69696, 69894, 70092, 70290, 70488, 70686, 70884, 71082, 71280, 71478, 71676, 71874, 72072, 72270, 72468, 72666, 72864, 73062, 73260, 73458, 73656, 73854, 74052, 74250, 74448, 74646, 74844, 75042, 75240, 75438, 75636, 75834, 76032, 76230, 76428, 76626, 76824, 77022, 77220, 77418, 77616, 77814, 78012, 78210, 78408, 78606, 78804, 79002, 79200, 79398, 79596, 79794, 79992, 80190, 80388, 80586, 80784, 80982, 81180, 81378, 81576, 81774, 81972, 82170, 82368, 82566, 82764, 82962, 83160, 83358, 83556, 83754, 83952, 84150, 84348, 84546, 84744, 84942, 85140, 85338, 85536, 85734, 85932, 86130, 86328, 86526, 86724, 86922, 87120, 87318, 87516, 87714, 87912, 88110, 88308, 88506, 88704, 88902, 89100, 89298, 89496, 89694, 89892, 90090, 90288, 90486, 90684, 90882, 91080, 91278, 91476, 91674, 91872, 92070, 92268, 92466, 92664, 92862, 93060, 93258, 93456, 93654, 93852, 94050, 94248, 94446, 94644, 94842, 95040, 95238, 95436, 95634, 95832, 96030, 96228, 96426, 96624, 96822, 97020, 97218, 97416, 97614, 97812, 98010, 98208, 98406, 98604, 98802, 99000, 99198, 99396, 99594, 99792, 99990, 100188, 100386, 100584, 100782, 100980, 101178, 101376, 101574, 101772, 101970, 102168, 102366, 102564, 102762, 102960, 103158, 103356, 103554, 103752, 103950, 104148, 104346, 104544, 104742, 104940, 105138, 105336, 105534, 105732, 105930, 106128, 106326, 106524, 106722, 106920, 107118, 107316, 107514, 107712, 107910, 108108, 108306, 108504, 108702, 108900, 109098, 109296, 109494, 109692, 109890, 110088, 110286, 110484, 110682, 110880, 111078, 111276, 111474, 111672, 111870, 112068, 112266, 112464, 112662, 112860, 113058, 113256, 113454, 113652, 113850, 114048, 114246, 114444, 114642, 114840, 115038, 115236, 115434, 115632, 115830, 116028, 116226, 116424, 116622, 116820, 117018, 117216, 117414, 117612, 117810, 118008, 118206, 118404, 118602, 118800, 118998, 119196, 119394, 119592, 119790, 119988, 120186, 120384, 120582, 120780, 120978, 121176, 121374, 121572, 121770, 121968, 122166, 122364, 122562, 122760, 122958, 123156, 123354, 123552, 123750, 123948, 124146, 124344, 124542, 124740, 124938, 125136, 125334, 125532, 125730, 125928, 126126, 126324, 126522, 126720, 126918, 127116, 127314, 127512, 127710, 127908, 128106, 128304, 128502, 128700, 128898, 129096, 129294, 129492, 129690, 129888, 130086, 130284, 130482, 130680, 130878, 131076, 131274, 131472, 131670, 131868, 132066, 132264, 132462, 132660, 132858, 133056, 133254, 133452, 133650, 133848, 134046, 134244, 134442, 134640, 134838, 135036, 135234, 135432, 135630, 135828, 136026, 136224, 136422, 136620, 136818, 137016, 137214, 137412, 137610, 137808, 138006, 138204, 138402, 138600, 138798, 138996, 139194, 139392, 139590, 139788, 139986, 140184, 140382, 140580, 140778, 140976, 141174, 141372, 141570, 141768, 141966, 142164, 142362, 142560, 142758, 142956, 143154, 143352, 143550, 143748, 143946, 144144, 144342, 144540, 144738, 144936, 145134, 145332, 145530, 145728, 145926, 146124, 146322, 146520, 146718, 146916, 147114, 147312, 147510, 147708, 147906, 148104, 148302, 148500, 148698, 148896, 149094, 149292, 149490, 149688, 149886, 150084, 150282, 150480, 150678, 150876, 151074, 151272, 151470, 151668, 151866, 152064, 152262, 152460, 152658, 152856, 153054, 153252, 153450, 153648, 153846, 154044, 154242, 154440, 154638, 154836, 155034, 155232, 155430, 155628, 155826, 156024, 156222, 156420, 156618, 156816, 157014, 157212, 157410, 157608, 157806, 158004, 158202, 158400, 158598, 158796, 158994, 159192, 159390, 159588, 159786, 159984, 160182, 160380, 160578, 160776, 160974, 161172, 161370, 161568, 161766, 161964, 162162, 162360, 162558, 162756, 162954, 163152, 163350, 163548, 163746, 163944, 164142, 164340, 164538, 164736, 164934, 165132, 165330, 165528, 165726, 165924, 166122, 166320, 166518, 166716, 166914, 167112, 167310, 167508, 167706, 167904, 168102, 168300, 168498, 168696, 168894, 169092, 169290, 169488, 169686, 169884, 170082, 170280, 170478, 170676, 170874, 171072, 171270, 171468, 171666, 171864, 172062, 172260, 172458, 172656, 172854, 173052, 173250, 173448, 173646, 173844, 174042, 174240, 174438, 174636, 174834, 175032, 175230, 175428, 175626, 175824, 176022, 176220, 176418, 176616, 176814, 177012, 177210, 177408, 177606, 177804, 178002, 178200, 178398, 178596, 178794, 178992, 179190, 179388, 179586, 179784, 179982, 180180, 180378, 180576, 180774, 180972, 181170, 181368, 181566, 181764, 181962, 182160, 182358, 182556, 182754, 182952, 183150, 183348, 183546, 183744, 183942, 184140, 184338, 184536, 184734, 184932, 185130, 185328, 185526, 185724, 185922, 186120, 186318, 186516, 186714, 186912, 187110, 187308, 187506, 187704, 187902, 188100, 188298, 188496, 188694, 188892, 189090, 189288, 189486, 189684, 189882, 190080, 190278, 190476, 190674, 190872, 191070, 191268, 191466, 191664, 191862, 192060, 192258, 192456, 192654, 192852, 193050, 193248, 193446, 193644, 193842, 194040, 194238, 194436, 194634, 194832, 195030, 195228, 195426, 195624, 195822, 196020, 196218, 196416, 196614, 196812, 197010, 197208, 197406, 197604, 197802, 198000, 198198, 198396, 198594, 198792, 198990, 199188, 199386, 199584, 199782, 199980, 200178, 200376, 200574, 200772, 200970, 201168, 201366, 201564, 201762, 201960, 202158, 202356, 202554, 202752, 202950, 203148, 203346, 203544, 203742, 203940, 204138, 204336, 204534, 204732, 204930, 205128, 205326, 205524, 205722, 205920, 206118, 206316, 206514, 206712, 206910, 207108, 207306, 207504, 207702, 207900, 208098, 208296, 208494, 208692, 208890, 209088, 209286, 209484, 209682, 209880, 210078, 210276, 210474, 210672, 210870, 211068, 211266, 211464, 211662, 211860, 212058, 212256, 212454, 212652, 212850, 213048, 213246, 213444, 213642, 213840, 214038, 214236, 214434, 214632, 214830, 215028, 215226, 215424, 215622, 215820, 216018, 216216, 216414, 216612, 216810, 217008, 217206, 217404, 217602, 217800, 217998, 218196, 218394, 218592, 218790, 218988, 219186, 219384, 219582, 219780, 219978, 220176, 220374, 220572, 220770, 220968, 221166, 221364, 221562, 221760, 221958, 222156, 222354, 222552, 222750, 222948, 223146, 223344, 223542, 223740, 223938, 224136, 224334, 224532, 224730, 224928, 225126, 225324, 225522, 225720, 225918, 226116, 226314, 226512, 226710, 226908, 227106, 227304, 227502, 227700, 227898, 228096, 228294, 228492, 228690, 228888, 229086, 229284, 229482, 229680, 229878, 230076, 230274, 230472, 230670, 230868, 231066, 231264, 231462, 231660, 231858, 232056, 232254, 232452, 232650, 232848, 233046, 233244, 233442, 233640, 233838, 234036, 234234, 234432, 234630, 234828, 235026, 235224, 235422, 235620, 235818, 236016, 236214, 236412, 236610, 236808, 237006, 237204, 237402, 237600, 237798, 237996, 238194, 238392, 238590, 238788, 238986, 239184, 239382, 239580, 239778, 239976, 240174, 240372, 240570, 240768, 240966, 241164, 241362, 241560, 241758, 241956, 242154, 242352, 242550, 242748, 242946, 243144, 243342, 243540, 243738, 243936, 244134, 244332, 244530, 244728, 244926, 245124, 245322, 245520, 245718, 245916, 246114, 246312, 246510, 246708, 246906, 247104, 247302, 247500, 247698, 247896, 248094, 248292, 248490, 248688, 248886, 249084, 249282, 249480, 249678, 249876, 250074, 250272, 250470, 250668, 250866, 251064, 251262, 251460, 251658, 251856, 252054, 252252, 252450, 252648, 252846, 253044, 253242, 253440, 253638, 253836, 254034, 254232, 254430, 254628, 254826, 255024, 255222, 255420, 255618, 255816, 256014, 256212, 256410, 256608, 256806, 257004, 257202, 257400, 257598, 257796, 257994, 258192, 258390, 258588, 258786, 258984, 259182, 259380, 259578, 259776, 259974, 260172, 260370, 260568, 260766, 260964, 261162, 261360, 261558, 261756, 261954, 262152, 262350, 262548, 262746, 262944, 263142, 263340, 263538, 263736, 263934, 264132, 264330, 264528, 264726, 264924, 265122, 265320, 265518, 265716, 265914, 266112, 266310, 266508, 266706, 266904, 267102, 267300, 267498, 267696, 267894, 268092, 268290, 268488, 268686, 268884, 269082, 269280, 269478, 269676, 269874, 270072, 270270, 270468, 270666, 270864, 271062, 271260, 271458, 271656, 271854, 272052, 272250, 272448, 272646, 272844, 273042, 273240, 273438, 273636, 273834, 274032, 274230, 274428, 274626, 274824, 275022, 275220, 275418, 275616, 275814, 276012, 276210, 276408, 276606, 276804, 277002, 277200, 277398, 277596, 277794, 277992, 278190, 278388, 278586, 278784, 278982, 279180, 279378, 279576, 279774, 279972, 280170, 280368, 280566, 280764, 280962, 281160, 281358, 281556, 281754, 281952, 282150, 282348, 282546, 282744, 282942, 283140, 283338, 283536, 283734, 283932, 284130, 284328, 284526, 284724, 284922, 285120, 285318, 285516, 285714, 285912, 286110, 286308, 286506, 286704, 286902, 287100, 287298, 287496, 287694, 287892, 288090, 288288, 288486, 288684, 288882, 289080, 289278, 289476, 289674, 289872, 290070, 290268, 290466, 290664, 290862, 291060, 291258, 291456, 291654, 291852, 292050, 292248, 292446, 292644, 292842, 293040, 293238, 293436, 293634, 293832, 294030, 294228, 294426, 294624, 294822, 295020, 295218, 295416, 295614, 295812, 296010, 296208, 296406, 296604, 296802, 297000, 297198, 297396, 297594, 297792, 297990, 298188, 298386, 298584, 298782, 298980, 299178, 299376, 299574, 299772, 299970, 300168, 300366, 300564, 300762, 300960, 301158, 301356, 301554, 301752, 301950, 302148, 302346, 302544, 302742, 302940, 303138, 303336, 303534, 303732, 303930, 304128, 304326, 304524, 304722, 304920, 305118, 305316, 305514, 305712, 305910, 306108, 306306, 306504, 306702, 306900, 307098, 307296, 307494, 307692, 307890, 308088, 308286, 308484, 308682, 308880, 309078, 309276, 309474, 309672, 309870, 310068, 310266, 310464, 310662, 310860, 311058, 311256, 311454, 311652, 311850, 312048, 312246, 312444, 312642, 312840, 313038, 313236, 313434, 313632, 313830, 314028, 314226, 314424, 314622, 314820, 315018, 315216, 315414, 315612, 315810, 316008, 316206, 316404, 316602, 316800, 316998, 317196, 317394, 317592, 317790, 317988, 318186, 318384, 318582, 318780, 318978, 319176, 319374, 319572, 319770, 319968, 320166, 320364, 320562, 320760, 320958, 321156, 321354, 321552, 321750, 321948, 322146, 322344, 322542, 322740, 322938, 323136, 323334, 323532, 323730, 323928, 324126, 324324, 324522, 324720, 324918, 325116, 325314, 325512, 325710, 325908, 326106, 326304, 326502, 326700, 326898, 327096, 327294, 327492, 327690, 327888, 328086, 328284, 328482, 328680, 328878, 329076, 329274, 329472, 329670, 329868, 330066, 330264, 330462, 330660, 330858, 331056, 331254, 331452, 331650, 331848, 332046, 332244, 332442, 332640, 332838, 333036, 333234, 333432, 333630, 333828, 334026, 334224, 334422, 334620, 334818, 335016, 335214, 335412, 335610, 335808, 336006, 336204, 336402, 336600, 336798, 336996, 337194, 337392, 337590, 337788, 337986, 338184, 338382, 338580, 338778, 338976, 339174, 339372, 339570, 339768, 339966, 340164, 340362, 340560, 340758, 340956, 341154, 341352, 341550, 341748, 341946, 342144, 342342, 342540, 342738, 342936, 343134, 343332, 343530, 343728, 343926, 344124, 344322, 344520, 344718, 344916, 345114, 345312, 345510, 345708, 345906, 346104, 346302, 346500, 346698, 346896, 347094, 347292, 347490, 347688, 347886, 348084, 348282, 348480, 348678, 348876, 349074, 349272, 349470, 349668, 349866, 350064, 350262, 350460, 350658, 350856, 351054, 351252, 351450, 351648, 351846, 352044, 352242, 352440, 352638, 352836, 353034, 353232, 353430, 353628, 353826, 354024, 354222, 354420, 354618, 354816, 355014, 355212, 355410, 355608, 355806, 356004, 356202, 356400, 356598, 356796, 356994, 357192, 357390, 357588, 357786, 357984

Hence, LCM of 1808 and 198 is 178992.

Steps to find LCM of 1808 and 198 by Common Division Method

Find all the prime numbers that would divide 1808 and 198 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 1808 and 198 by Common Division Method

2	1808 198
2	904 99
2	452 99
2	226 99
3	113 99
3	113 33
11	113 11
113	113 1
	1 1

Hence, LCM of 1808 and 198 is 2 x 2 x 2 x 2 x 3 x 3 x 11 x 113 = 178992.

Steps to find lcm of 1808 and 198 by Formula

The formula for LCM is LCM (1808, 198) = (1808 x 198) / GCF (1808, 198)
Apply the formula, and read off the answer!

Example: Find lcm of 1808 and 198 by Formula

GCF of 1808 and 198 = 2
LCM of 1808 and 198 = (1808 x 198) / 2
=> 357984 / 2

Hence, LCM of 1808 and 198 is 178992.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 1808 and 198 minutes respectively to go round once. Find at what time they will run together?

Franky and Joy are running on a circular track. They take 1808 and 198 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 1808 and 198.
So, LCM of 1808 and 198 is 178992.

A shopkeeper sells candies in packet of 1808 and chocolates in packet of 198. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 1808 and 198.
So, LCM of 1808 and 198 is 178992.

Both the cricket team and the rugby team had games, today. The cricket team plays every 1808 days and the basketball team plays every 198 days. When will both teams have games on the same day again?

Given that the cricket team plays every 1808 days and the basketball team plays every 198 days, so for finding the next time when both teams will play again we need to find the LCM of 1808 and 198.
So, LCM of 1808 and 198 is 178992.

Sammy's company prints 1808 textbooks at a time. Daniel's company prints textbooks in sets of 198 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 1808 and 198.
So, LCM of 1808 and 198 is 178992.

Ariel exercises every 1808 days and Rubel every 198 days. They both excercised today. How many days will it be until they excercise together again?

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.
So, LCM of 1808 and 198 is 178992.

What is the relation between LCM and GCF( Greatest Common Factor)?

Greatest common factors or gcf of 1808 and 198 is GCF(1808, 198) * LCM(1808, 198) = (1808 x 198) / GCF(1808, 198) = 178992.

Find the least number which is exactly divisible by 1808 and 198.

Least number which is exactly divisible by 1808 and 198 is 178992.

What is LCM of 1808 and 198?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 1808 and 198 by Listing Method

Example: Find lcm of 1808 and 198 by Listing Method

Steps to find LCM of 1808 and 198 by Common Division Method

Example: Find lcm of 1808 and 198 by Common Division Method

Steps to find lcm of 1808 and 198 by Formula

Example: Find lcm of 1808 and 198 by Formula

Examples

What is LCM of 1808 and 198?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 1808 and 198 by Listing Method

Example: Find lcm of 1808 and 198 by Listing Method

Steps to find LCM of 1808 and 198 by Common Division Method

Example: Find lcm of 1808 and 198 by Common Division Method

Steps to find lcm of 1808 and 198 by Formula

Example: Find lcm of 1808 and 198 by Formula

Examples

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